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Simplifying 3x + -1 + x + 27 = 7 + 6x + 23 + -4x Reorder the terms: -1 + 27 + 3x + x = 7 + 6x + 23 + -4x Combine like terms: -1 + 27 = 26 26 + 3x + x = 7 + 6x + 23 + -4x Combine like terms: 3x + x = 4x 26 + 4x = 7 + 6x + 23 + -4x Reorder the terms: 26 + 4x = 7 + 23 + 6x + -4x Combine like terms: 7 + 23 = 30 26 + 4x = 30 + 6x + -4x Combine like terms: 6x + -4x = 2x 26 + 4x = 30 + 2x Solving 26 + 4x = 30 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 26 + 4x + -2x = 30 + 2x + -2x Combine like terms: 4x + -2x = 2x 26 + 2x = 30 + 2x + -2x Combine like terms: 2x + -2x = 0 26 + 2x = 30 + 0 26 + 2x = 30 Add '-26' to each side of the equation. 26 + -26 + 2x = 30 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 30 + -26 2x = 30 + -26 Combine like terms: 30 + -26 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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